55840675968 has 768 divisors, whose sum is σ = 216113356800. Its totient is φ = 14021683200.

The previous prime is 55840675967. The next prime is 55840676009. The reversal of 55840675968 is 86957604855.

55840675968 is a `hidden beast` number, since 558 + 4 + 0 + 6 + 75 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55840675967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57745821 + ... + 57746787.

It is an arithmetic number, because the mean of its divisors is an integer number (281397600).

Almost surely, 2^55840675968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55840675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108056678400).

55840675968 is an abundant number, since it is smaller than the sum of its proper divisors (160272680832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55840675968 is a wasteful number, since it uses less digits than its factorization.

55840675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 55840675968 in words is "fifty-five billion, eight hundred forty million, six hundred seventy-five thousand, nine hundred sixty-eight".